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  1. The value of (1 + cot θ – cosec θ) (1 + tan θ + sec θ) is equal to
    1. 1
    2. 2
    3. 0
    4. - 1
Correct Option: B

( 1 + cot θ - cosec θ) (1+ tan θ + sec θ)

=
sin θ + cos θ - 1
×
cos θ + sin θ + 1
sin θcos θ

=
(sin θ + cos θ)² - 1
sin θ.cosθ

=
sin²θ + cos²θ + 2sinθ.cosθ - 1
sin θ.cosθ

=
2sinθ.cosθ
= 2
sin θ.cosθ


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